Endpoint
Find the missing endpoint of a line segment given the midpoint (Mx, My) and one endpoint (x1, y1). Free online endpoint calculator using formula E2 = 2M - E1 for coordinate geometry problems.
About This Calculator
The Endpoint Calculator finds the missing endpoint of a line segment when given the midpoint and one endpoint. Using the midpoint formula M = ((x1 + x2)/2, (y1 + y2)/2), the missing endpoint is derived as E2 = (2Mx - E1x, 2My - E1y).
This calculator is essential for coordinate geometry, line segment problems, and geometry homework. The endpoint formula is a key concept in analytic geometry and is widely taught in high school math curricula across India (CBSE Class 10), US (Common Core Geometry), and UK (GCSE Mathematics).
Frequently Asked Questions
What is the endpoint formula?
The endpoint formula is derived from the midpoint formula. If M(xₘ, yₘ) is the midpoint and E1(x1, y1) is one endpoint, the missing endpoint is E2(2xₘ - x1, 2yₘ - y1).
How do I find an endpoint given the midpoint?
Given midpoint M and endpoint E1, the other endpoint is E2 = (2Mx - E1x, 2My - E1y). For example, if M = (3, 4) and E1 = (1, 2), then E2 = (5, 6).
Is this calculator free?
Yes, all calculators on Calculy are completely free to use.